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Finding the Fourth Proportional to 11,884.32, 16,400.14 and 6,848.24

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Solution

The fourth proportional to 11,884.32, 16,400.14 and 6,848.24 is: 9,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.32 : 16,400.14 = 6,848.24 : x
  2. Step 2: Convert to fraction form
    11,884.32/16,400.14 = 6,848.24/x
  3. Step 3: Cross multiply
    11,884.32x = 16,400.14 × 6,848.24
  4. Step 4: Simplify right side
    11,884.32x = 112,312,094.75
  5. Step 5: Solve for x
    x = 112,312,094.75/11,884.32
  6. Step 6: Final answer
    x = 9,450.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.